(4x-2)=(7x-19)

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Solution for (4x-2)=(7x-19) equation:


Simplifying
(4x + -2) = (7x + -19)

Reorder the terms:
(-2 + 4x) = (7x + -19)

Remove parenthesis around (-2 + 4x)
-2 + 4x = (7x + -19)

Reorder the terms:
-2 + 4x = (-19 + 7x)

Remove parenthesis around (-19 + 7x)
-2 + 4x = -19 + 7x

Solving
-2 + 4x = -19 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
-2 + 4x + -7x = -19 + 7x + -7x

Combine like terms: 4x + -7x = -3x
-2 + -3x = -19 + 7x + -7x

Combine like terms: 7x + -7x = 0
-2 + -3x = -19 + 0
-2 + -3x = -19

Add '2' to each side of the equation.
-2 + 2 + -3x = -19 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = -19 + 2
-3x = -19 + 2

Combine like terms: -19 + 2 = -17
-3x = -17

Divide each side by '-3'.
x = 5.666666667

Simplifying
x = 5.666666667

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